101202212112001 has 48 divisors (see below), whose sum is σ = 136924481620864. Its totient is φ = 72784720800000.

The previous prime is 101202212111989. The next prime is 101202212112061. The reversal of 101202212112001 is 100211212202101.

It is not a de Polignac number, because 101202212112001 - 2⁴⁵ = 66017840023169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101202212112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99595501 + ... + 100606501.

Almost surely, 2^{101202212112001} is an apocalyptic number.

101202212112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202212112001 is a deficient number, since it is larger than the sum of its proper divisors (35722269508863).

101202212112001 is a wasteful number, since it uses less digits than its factorization.

101202212112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020134 (or 1020123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202212112001 its reverse (100211212202101), we get a palindrome (201413424314102).

The spelling of 101202212112001 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, one hundred twelve thousand, one".